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264 cubed, (264)3, is the number you get when multiplying 264 times 264 times 264.
It can also be looked at as exponentiation involving the base 264 and the exponent 3.
The term is usually pronounced 3rd power of two hundred sixty-four or two hundred sixty-four cubed.
The cube of 264 is a perfect cube because the number is the product of the three equal integers 264.
It can be written as 264 × 264 × 264 or in exponential form.
Read on to learn everything about the number two hundred sixty-four cubed, including useful identities.
Calculator
264 × 264 × 264 = 18,399,744
The inverse operation of cubing 264 is extracting the cube root of 264, explained here.
In the next section we elaborate on the cube 264.
What is 264 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 264 has an area of 18,399,744.
The sum and the differences of two cubes, for example with side length 264 and 263, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 264, b = 263 and the equivalence we get:
(264)3 = 527 x (2642 – 264 × 263 + 2632) – 2633 = 527 x (69696 – 69432 + 69169) – 18191447 = 527 x 69433 – 18191447 = 18,399,744 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 264, b = 263 and the equivalence we get:
(264)3 = (2642 + 264 × 263 + 2632) + 2633 = 69696 + 69432 + 69169 + 18191447 = 18,399,744
As follows from (1), 264 cubed can be calculated from 263 cubed and 264 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(264)3 = (2 × 264 – 1) × (2642 – 264 + 1) – (263)3 = 527 × (69696 – 263) – 18191447 = 527 × 69433 – 18191447 = 18,399,744
Using the second formula 264 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(264)3 = 2633 + 3 × 2642 – 3 × 264 + 1 = 18191447 + 3 × 69696 – 3 × 264 + 1 = 18191447 + 209088 – 792 + 1 = 18,399,744
If you want to calculate the cube of any number, not only integers like 264, you can use our calculator above.
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A cube similar to 264 is, for example: cube of 266.
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The following table contains the cubes of numbers close to 264.
Table
| Number | Cube |
|---|---|
| 259 | 17,373,979 |
| 260 | 17,576,000 |
| 261 | 17,779,581 |
| 262 | 17,984,728 |
| 263 | 18,191,447 |
| 264 | 18,399,744 |
| 265 | 18,609,625 |
| 266 | 18,821,096 |
| 267 | 19,034,163 |
| 268 | 19,248,832 |
| 269 | 19,465,109 |
Two Hundred Sixty-Four Cubed
You now know everything about the cube 264 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
264 cubed is equivalent to 18,399,744.
If you were searching for what is 264 cubed in math or if you typed whats 264 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube264, and 264 to the 3rd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect cubes including 264 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
264 cubed = 264 x 264 x 264 = (264)3 = 264 to the 3rd power = 18,399,744.
The exponentiation form is mostly used to denote 264 cube.
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– Article written by Mark, last updated on November 26th, 2023